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202442424 = 23343119571
BaseRepresentation
bin11000001000100…
…00011010111000
3112002221010210120
430010100122320
5403311124144
632031013240
75005506102
oct1404203270
9462833716
10202442424
11a4300a98
125796a220
1332c30c22
141cc5a572
1512b8ce19
hexc1106b8

202442424 has 32 divisors (see below), whose sum is σ = 507306240. Its totient is φ = 67320800.

The previous prime is 202442423. The next prime is 202442441. The reversal of 202442424 is 424244202.

202442424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2024424243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 202442394 and 202442403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202442423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559 + ... + 20129.

It is an arithmetic number, because the mean of its divisors is an integer number (15853320).

Almost surely, 2202442424 is an apocalyptic number.

202442424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202442424 is an abundant number, since it is smaller than the sum of its proper divisors (304863816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202442424 is a wasteful number, since it uses less digits than its factorization.

202442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20011 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 202442424 is about 14228.2263125099. The cubic root of 202442424 is about 587.1744859814.

Adding to 202442424 its reverse (424244202), we get a palindrome (626686626).

The spelling of 202442424 in words is "two hundred two million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 431 862 1293 1724 2586 3448 5172 10344 19571 39142 58713 78284 117426 156568 234852 469704 8435101 16870202 25305303 33740404 50610606 67480808 101221212 202442424